(* Content-type: application/vnd.wolfram.mathematica *)

(*** Wolfram Notebook File ***)
(* http://www.wolfram.com/nb *)

(* CreatedBy='Mathematica 10.4' *)

(*CacheID: 234*)
(* Internal cache information:
NotebookFileLineBreakTest
NotebookFileLineBreakTest
NotebookDataPosition[       158,          7]
NotebookDataLength[     12716,        457]
NotebookOptionsPosition[      9456,        356]
NotebookOutlinePosition[     11527,        412]
CellTagsIndexPosition[     11442,        407]
WindowTitle->CV
WindowFrame->Normal*)

(* Beginning of Notebook Content *)
Notebook[{
Cell[BoxData[GridBox[{
   {Cell["FEYN CALC SYMBOL", "PacletNameCell"], Cell[TextData[{
     Cell[BoxData[
      ActionMenuBox[
       FrameBox[
        InterpretationBox[Cell[TextData[{
          "See Also",
          StyleBox[" \[FilledDownTriangle]", "AnchorBarArrow",
           StripOnInput->False]
         }]],
         TextCell[
          Row[{"See Also", 
            Style[" \[FilledDownTriangle]", "AnchorBarArrow"]}]]],
        StripOnInput->False], {"\<\"FV\"\>":>Documentation`HelpLookup[
       "paclet:FeynCalc/ref/FV"], "\<\"Pair\"\>":>Documentation`HelpLookup[
       "paclet:FeynCalc/ref/Pair"], "\<\"CartesianPair\"\>":>
       Documentation`HelpLookup["paclet:FeynCalc/ref/CartesianPair"]},
       Appearance->None,
       MenuAppearance->Automatic,
       MenuStyle->"SeeAlso"]],
      LineSpacing->{1.4, 0}],
     "\[ThickSpace]\[ThickSpace]\[ThickSpace]\[ThickSpace]\[ThickSpace]\
\[ThickSpace]",
     Cell[BoxData[
      ActionMenuBox[
       FrameBox[
        InterpretationBox[Cell[TextData[{
          "URL",
          StyleBox[" \[FilledDownTriangle]", "AnchorBarArrow",
           StripOnInput->False]
         }]],
         TextCell[
          Row[{"URL", 
            Style[" \[FilledDownTriangle]", "AnchorBarArrow"]}]]],
        StripOnInput->False], {"\<\"FeynCalc/ref/CV\"\>":>
       None, "\<\"Copy Wolfram Documentation Center URL\"\>":>
       Module[{DocumentationSearch`Private`nb$}, 
        DocumentationSearch`Private`nb$ = NotebookPut[
           Notebook[{
             Cell["FeynCalc/ref/CV"]}, Visible -> False]]; 
        SelectionMove[DocumentationSearch`Private`nb$, All, Notebook]; 
        FrontEndTokenExecute[DocumentationSearch`Private`nb$, "Copy"]; 
        NotebookClose[DocumentationSearch`Private`nb$]; Null], 
       Delimiter, "\<\"Copy web URL\"\>":>
       Module[{DocumentationSearch`Private`nb$}, 
        DocumentationSearch`Private`nb$ = NotebookPut[
           Notebook[{
             Cell[
              BoxData[
               MakeBoxes[
                Hyperlink[
                "http://reference.wolfram.com/language/FeynCalc/ref/CV.html"],
                 StandardForm]], "Input", TextClipboardType -> "PlainText"]}, 
            Visible -> False]]; 
        SelectionMove[DocumentationSearch`Private`nb$, All, Notebook]; 
        FrontEndTokenExecute[DocumentationSearch`Private`nb$, "Copy"]; 
        NotebookClose[DocumentationSearch`Private`nb$]; 
        Null], "\<\"Go to web URL\"\>":>FrontEndExecute[{
         NotebookLocate[{
           URL[
            StringJoin[
             If[
              TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$55063], 
              "http://reference.wolfram.com/system-modeler/", 
              "http://reference.wolfram.com/language/"], "FeynCalc/ref/CV", 
             ".html"]], None}]}]},
       Appearance->None,
       MenuAppearance->Automatic,
       MenuStyle->"URLMenu"]],
      LineSpacing->{1.4, 0}]
    }], "AnchorBar"]}
  }]], "AnchorBarGrid",
 GridBoxOptions->{GridBoxItemSize->{"Columns" -> {
     Scaled[0.65], {
      Scaled[0.34]}}, "ColumnsIndexed" -> {}, "Rows" -> {{1.}}, 
   "RowsIndexed" -> {}}},
 CellID->1],

Cell[TextData[{
 Cell["CV", "ObjectName"],
 Cell[BoxData[
  InterpretationBox[
   StyleBox[
    GraphicsBox[{},
     BaselinePosition->Baseline,
     ImageSize->{8, 0}],
    CacheGraphics->False],
   Spacer[8]]]],
 Cell[BoxData[""], "ObjectNameTranslation"]
}], "ObjectNameGrid"],

Cell[BoxData[GridBox[{
   {"", Cell[TextData[{
     Cell[BoxData[
      RowBox[{"CV", "[", 
       RowBox[{"p", ",", "i"}], "]"}]], "InlineFormula"],
     " \[LineSeparator]is a 3-dimensional Cartesian vector and is transformed \
into CartesianPair[CartesianMomentum[p], CartesianIndex[i]] by \
FeynCalcInternal."
    }]]}
  }]], "Usage",
 GridBoxOptions->{
 GridBoxBackground->{
  "Columns" -> {{None}}, "ColumnsIndexed" -> {}, "Rows" -> {{None}}, 
   "RowsIndexed" -> {}}},
 CellID->982511436],

Cell[CellGroupData[{

Cell[TextData[{
 Cell[BoxData[
  InterpretationBox[
   StyleBox[
    GraphicsBox[{},
     BaselinePosition->Baseline,
     ImageSize->{6, 0}],
    CacheGraphics->False],
   Spacer[6]]]],
 "Examples",
 "\[NonBreakingSpace]\[NonBreakingSpace]",
 Cell["(1)", "ExampleCount"]
}], "PrimaryExamplesSection",
 WholeCellGroupOpener->True,
 CellTags->"PrimaryExamplesSection",
 CellID->2103846255],

Cell[CellGroupData[{

Cell[TextData[{
 "Basic Examples",
 "\[NonBreakingSpace]\[NonBreakingSpace]",
 Cell["(1)", "ExampleCount"]
}], "ExampleSection", "ExampleSection",
 WholeCellGroupOpener->True,
 CellID->2083025203],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"CV", "[", 
  RowBox[{"p", ",", "i"}], "]"}]], "Input",
 CellLabel->"In[1]:=",
 CellID->236026604],

Cell[BoxData[
 FormBox[
  SuperscriptBox[
   FormBox[
    OverscriptBox[
     FormBox[
      StyleBox["p",
       StripOnInput->False,
       FontWeight->Bold],
      TraditionalForm], "_"],
    TraditionalForm], 
   FormBox[
    FormBox[
     StyleBox["i",
      StripOnInput->False,
      FontWeight->Bold],
     TraditionalForm],
    TraditionalForm]], TraditionalForm]], "Output",
 ImageSize->{28, 19},
 ImageMargins->{{0, 0}, {0, 0}},
 ImageRegion->{{0, 1}, {0, 1}},
 CellLabel->"Out[1]=",
 CellID->799728704]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"CV", "[", 
  RowBox[{
   RowBox[{"p", "-", "q"}], ",", "i"}], "]"}]], "Input",
 CellLabel->"In[2]:=",
 CellID->585918220],

Cell[BoxData[
 FormBox[
  SuperscriptBox[
   RowBox[{"(", 
    FormBox[
     FormBox[
      RowBox[{
       OverscriptBox[
        FormBox[
         StyleBox["p",
          StripOnInput->False,
          FontWeight->Bold],
         TraditionalForm], "_"], "-", 
       OverscriptBox[
        FormBox[
         StyleBox["q",
          StripOnInput->False,
          FontWeight->Bold],
         TraditionalForm], "_"]}],
      TraditionalForm],
     TraditionalForm], ")"}], 
   FormBox[
    FormBox[
     StyleBox["i",
      StripOnInput->False,
      FontWeight->Bold],
     TraditionalForm],
    TraditionalForm]], TraditionalForm]], "Output",
 ImageSize->{71, 19},
 ImageMargins->{{0, 0}, {0, 0}},
 ImageRegion->{{0, 1}, {0, 1}},
 CellLabel->"Out[2]=",
 CellID->1869621672]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{
  RowBox[{"FCI", "[", 
   RowBox[{"CV", "[", 
    RowBox[{"p", ",", "i"}], "]"}], "]"}], "//", "StandardForm"}]], "Input",
 CellLabel->"In[3]:=",
 CellID->921449288],

Cell[BoxData[
 RowBox[{"CartesianPair", "[", 
  RowBox[{
   RowBox[{"CartesianIndex", "[", "i", "]"}], ",", 
   RowBox[{"CartesianMomentum", "[", "p", "]"}]}], "]"}]], "Output",
 ImageSize->{441, 15},
 ImageMargins->{{0, 0}, {0, 0}},
 ImageRegion->{{0, 1}, {0, 1}},
 CellLabel->"Out[3]//StandardForm=",
 CellID->772928155]
}, Open  ]],

Cell["ExpandScalarProduct is used to expand momenta in CV", "Notes",
 CellID->97927264],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"ExpandScalarProduct", "[", 
  RowBox[{"CV", "[", 
   RowBox[{
    RowBox[{"p", "-", "q"}], ",", "i"}], "]"}], "]"}]], "Input",
 CellLabel->"In[4]:=",
 CellID->1140711302],

Cell[BoxData[
 FormBox[
  RowBox[{
   SuperscriptBox[
    FormBox[
     OverscriptBox[
      FormBox[
       StyleBox["p",
        StripOnInput->False,
        FontWeight->Bold],
       TraditionalForm], "_"],
     TraditionalForm], 
    FormBox[
     FormBox[
      StyleBox["i",
       StripOnInput->False,
       FontWeight->Bold],
      TraditionalForm],
     TraditionalForm]], "-", 
   SuperscriptBox[
    FormBox[
     OverscriptBox[
      FormBox[
       StyleBox["q",
        StripOnInput->False,
        FontWeight->Bold],
       TraditionalForm], "_"],
     TraditionalForm], 
    FormBox[
     FormBox[
      StyleBox["i",
       StripOnInput->False,
       FontWeight->Bold],
      TraditionalForm],
     TraditionalForm]]}], TraditionalForm]], "Output",
 ImageSize->{68, 19},
 ImageMargins->{{0, 0}, {0, 0}},
 ImageRegion->{{0, 1}, {0, 1}},
 CellLabel->"Out[4]=",
 CellID->526558982]
}, Open  ]]
}, Open  ]],

Cell["", "SectionFooterSpacer"]
}, Open  ]],

Cell[CellGroupData[{

Cell[TextData[{
 Cell[BoxData[
  InterpretationBox[
   StyleBox[
    GraphicsBox[{},
     BaselinePosition->Baseline,
     ImageSize->{6, 0}],
    CacheGraphics->False],
   Spacer[6]]]],
 "See Also"
}], "SeeAlsoSection",
 WholeCellGroupOpener->True,
 CellID->1255426704],

Cell[TextData[{
 StyleBox[ButtonBox["FV",
  BaseStyle->"Link",
  ButtonData->"paclet:FeynCalc/ref/FV",
  ButtonNote->"FV"],
  FontFamily->"Verdana"],
 ", ",
 StyleBox[ButtonBox["Pair",
  BaseStyle->"Link",
  ButtonData->"paclet:FeynCalc/ref/Pair",
  ButtonNote->"Pair"],
  FontFamily->"Verdana"],
 ", ",
 StyleBox[ButtonBox["CartesianPair",
  BaseStyle->"Link",
  ButtonData->"paclet:FeynCalc/ref/CartesianPair",
  ButtonNote->"CartesianPair"],
  FontFamily->"Verdana"],
 "."
}], "SeeAlso",
 CellID->119070656]
}, Open  ]],

Cell[" ", "FooterCell"]
},
Saveable->False,
ScreenStyleEnvironment->"Working",
WindowSize->{725, 750},
WindowMargins->{{-10, Automatic}, {Automatic, -8}},
WindowTitle->"CV",
TaggingRules->{
 "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> 
  GridBox[{{
      RowBox[{
        ButtonBox[
        "FeynCalc", ButtonData -> "paclet:FeynCalc/guide/FeynCalc", 
         BaseStyle -> {"Link", "DockedLinkTrail"}]}]}}, ColumnAlignments -> 
    Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> 
  None, "RootCaptions" -> "", 
  "Metadata" -> {
   "built" -> "{2020, 6, 20, 19, 3, 33.037372}", 
    "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", 
    "keywords" -> {}, "specialkeywords" -> {}, 
    "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> 
    "Feyn Calc Symbol", "language" -> "en", "paclet" -> "FeynCalc", "status" -> 
    "None", "summary" -> 
    "CV[p, i] is a 3-dimensional Cartesian vector and is transformed into \
CartesianPair[CartesianMomentum[p], CartesianIndex[i]] by FeynCalcInternal.", 
    "synonyms" -> {}, "tabletags" -> {}, "title" -> "CV", "titlemodifier" -> 
    "", "windowtitle" -> "CV", "type" -> "Symbol", "uri" -> 
    "FeynCalc/ref/CV"}, "SearchTextTranslated" -> ""},
CellContext->"Global`",
FrontEndVersion->"10.4 for Linux x86 (64-bit) (April 11, 2016)",
StyleDefinitions->Notebook[{
   Cell[
    StyleData[
    StyleDefinitions -> FrontEnd`FileName[{"Wolfram"}, "Reference.nb"]]], 
   Cell[
    StyleData["Input"], CellContext -> "Global`"], 
   Cell[
    StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, 
  FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", 
  StyleDefinitions -> "Default.nb"]
]
(* End of Notebook Content *)

(* Internal cache information *)
(*CellTagsOutline
CellTagsIndex->{
 "PrimaryExamplesSection"->{
  Cell[4532, 130, 388, 15, 31, "PrimaryExamplesSection",
   CellTags->"PrimaryExamplesSection",
   CellID->2103846255]}
 }
*)
(*CellTagsIndex
CellTagsIndex->{
 {"PrimaryExamplesSection", 11298, 400}
 }
*)
(*NotebookFileOutline
Notebook[{
Cell[574, 21, 3153, 76, 53, "AnchorBarGrid",
 CellID->1],
Cell[3730, 99, 279, 11, 45, "ObjectNameGrid"],
Cell[4012, 112, 495, 14, 102, "Usage",
 CellID->982511436],
Cell[CellGroupData[{
Cell[4532, 130, 388, 15, 31, "PrimaryExamplesSection",
 CellTags->"PrimaryExamplesSection",
 CellID->2103846255],
Cell[CellGroupData[{
Cell[4945, 149, 196, 6, 26, "ExampleSection",
 CellID->2083025203],
Cell[CellGroupData[{
Cell[5166, 159, 121, 4, 27, "Input",
 CellID->236026604],
Cell[5290, 165, 514, 22, 40, "Output",
 CellID->799728704]
}, Open  ]],
Cell[CellGroupData[{
Cell[5841, 192, 145, 5, 27, "Input",
 CellID->585918220],
Cell[5989, 199, 775, 32, 40, "Output",
 CellID->1869621672]
}, Open  ]],
Cell[CellGroupData[{
Cell[6801, 236, 189, 6, 27, "Input",
 CellID->921449288],
Cell[6993, 244, 322, 9, 51, "Output",
 CellID->772928155]
}, Open  ]],
Cell[7330, 256, 87, 1, 32, "Notes",
 CellID->97927264],
Cell[CellGroupData[{
Cell[7442, 261, 194, 6, 27, "Input",
 CellID->1140711302],
Cell[7639, 269, 897, 39, 40, "Output",
 CellID->526558982]
}, Open  ]]
}, Open  ]],
Cell[8563, 312, 31, 0, 29, "SectionFooterSpacer"]
}, Open  ]],
Cell[CellGroupData[{
Cell[8631, 317, 270, 12, 31, "SeeAlsoSection",
 CellID->1255426704],
Cell[8904, 331, 510, 20, 56, "SeeAlso",
 CellID->119070656]
}, Open  ]],
Cell[9429, 354, 23, 0, 70, "FooterCell"]
}
]
*)

(* End of internal cache information *)

